Version 1
: Received: 24 February 2024 / Approved: 26 February 2024 / Online: 26 February 2024 (14:14:30 CET)
How to cite:
Semenov, V.I. About Bellman Principle and Solution Properties of Navier–Stokes Equations in the 3d Cauchy Problem. Preprints2024, 2024021463. https://doi.org/10.20944/preprints202402.1463.v1
Semenov, V.I. About Bellman Principle and Solution Properties of Navier–Stokes Equations in the 3d Cauchy Problem. Preprints 2024, 2024021463. https://doi.org/10.20944/preprints202402.1463.v1
Semenov, V.I. About Bellman Principle and Solution Properties of Navier–Stokes Equations in the 3d Cauchy Problem. Preprints2024, 2024021463. https://doi.org/10.20944/preprints202402.1463.v1
APA Style
Semenov, V.I. (2024). About Bellman Principle and Solution Properties of Navier–Stokes Equations in the 3d Cauchy Problem. Preprints. https://doi.org/10.20944/preprints202402.1463.v1
Chicago/Turabian Style
Semenov, V.I. 2024 "About Bellman Principle and Solution Properties of Navier–Stokes Equations in the 3d Cauchy Problem" Preprints. https://doi.org/10.20944/preprints202402.1463.v1
Abstract
The main purpose of this article is to consider the smoothness control of a weak solution after some moment if there is known solution regularity until this moment. The necessary tools can be varied. It is possible to control kinetic energy dissipation to fix moment or changing of velocity square or summability of acceleration square to fix at point time.
Keywords
Navier-Stokes equations 1; blow up solution 2; regular solution 3
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.